here is a simple explanation. Suppose you have an op-amp (differental amplifier) with a gain of 40 db and a frequency response of -3db per octive falling off from 10 hz. That means that the gain will be:
HZ GAIN
10 40
100 37
1000 34
10,000 31
100,000 28
Voltage gain in DB is G=20 log (Vin/Vout) so voltage gain at 10 hz is 100 and voltage gain at 100,000 hz is only 25. (25.1 to be exact but whose counting?)
Now if you take that op amp and ground the + input, connect a resistor of 100 K from output to input, connect a resistor of 4 k from input to NEW CIRCUIT INPUT, you will reduce the gian of the resulting circuit to 25 (28 DB) BUT IT WILL BE 28 DB FROM 10 HZ TO 100,000 HZ. After that, the amp will be running "wide open" (no feedabck) so the response will fall off at 3 DB per octive. You have turned a useless op-amp (for audio purposes) into a fine wideband amplifier suitible for Hi-Fi reproduction.
All amplifiers are effectively single pole filters, that is, they exhibit a 3 DB per octive response at the best. So you can see, for effective wide band opereration, all useful amplifiers MUST have negative feedback.